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Question

Calculate the enthalpy of formation of MgF2 from the following data-
Enthalpy of sublimation for Mg(s)Mg(g)=146.4 kJ mol1
Enthalpy of dissociation of F2(g)2F(g)=155.8 kJ mol1
Ionisation energy of Mg(g)Mg2+(g)=2186 kJ mol1
Electron gain enthalpy of 2F2F1=2×322.6=645.2 kJ mol1
Lattice enthalpy of MgF2=2922.5 kJ mol1

A
1079.5 kJmol1
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B
1099.5 kJmol1
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C
2200 kJmol1
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D
2200 kJmol1
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Solution

The correct option is A 1079.5 kJmol1
Mg(s)Mg(g); ΔHsub=146.4 kJ mol1

F2(g)2F(g); BDE=155.8 kJ mol1

Mg(g)Mg2+(g); IE=2186 kJ mol1

2F(g)+2e2F(g); EA=2×322.6=645.2 kJ mol1

Mg(s)+F2(g)MgF2(s); ΔfH=2922.5 kJ mol1

According to Born-Haber cycle
ΔfH=ΔHsub+BDE+IE+EA+U
ΔfH=146.4+155.8+2186645.22922.5
ΔfH=1079.5 kJ mol1
Hence, enthalpy of formation of MgF2=1079.5 kJ mol1

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